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math.CO2024
-deformation of chromatic polynomials and graphical arrangements
Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi +1
We first observe a mysterious similarity between the braid arrangement and the arrangement of all hyperplanes in a vector space over the finite field . These two arra…
math.CO2024
The quasi-polynomiality of mod q permutation representation for a linear finite group action on a lattice
Ryo Uchiumi, Masahiko Yoshinaga
For given linear action of a finite group on a lattice and a positive integer q, we prove that the mod q permutation representation is a quasi-polynomial in q. Additionally, we est…